K12n777
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^2-3 q+6-8 q^{-1} +10 q^{-2} -10 q^{-3} +10 q^{-4} -8 q^{-5} +5 q^{-6} -3 q^{-7} + q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+8 t^2-14 t+17-14 t^{-1} +8 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-4 z^4+1 }[/math] |
| Determinant | 65 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+2 z^2 a^6-z^6 a^4-3 z^4 a^4-2 z^2 a^4-z^6 a^2-3 z^4 a^2-2 z^2 a^2+z^4+2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^6 z^{10}+2 a^4 z^{10}+3 a^7 z^9+8 a^5 z^9+5 a^3 z^9+a^8 z^8-6 a^6 z^8-a^4 z^8+6 a^2 z^8-16 a^7 z^7-36 a^5 z^7-16 a^3 z^7+4 a z^7-5 a^8 z^6-3 a^6 z^6-19 a^4 z^6-20 a^2 z^6+z^6+27 a^7 z^5+46 a^5 z^5+9 a^3 z^5-10 a z^5+8 a^8 z^4+15 a^6 z^4+23 a^4 z^4+18 a^2 z^4+2 z^4-15 a^7 z^3-19 a^5 z^3+7 a z^3+3 z^3 a^{-1} -4 a^8 z^2-6 a^6 z^2-5 a^4 z^2-7 a^2 z^2+z^2 a^{-2} -3 z^2+a^7 z+2 a^5 z-2 a z-z a^{-1} +1 }[/math] |
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